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Finding the Fourth Proportional to 2,087.85, 3,135.02 and 1,115.85

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Solution

The fourth proportional to 2,087.85, 3,135.02 and 1,115.85 is: 1,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.85 : 3,135.02 = 1,115.85 : x
  2. Step 2: Convert to fraction form
    2,087.85/3,135.02 = 1,115.85/x
  3. Step 3: Cross multiply
    2,087.85x = 3,135.02 × 1,115.85
  4. Step 4: Simplify right side
    2,087.85x = 3,498,206.49
  5. Step 5: Solve for x
    x = 3,498,206.49/2,087.85
  6. Step 6: Final answer
    x = 1,675.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.